2 c) Find slope and deflection at C for cantilever beam of uniform section as shown in figure 2. using moment area method. E = MPa and I = mm 4. [7] Q2) a) Explain relation between actual beam and conjugate beam. [4] b) A cantilever beam of span 6m is carrying load of 10 kn at the free end another 10 kn at its centre as shown in figure 3. Determine slope and deflection of the cantilever at the free end using conjugate beam method. Take EI = Constant. [7] c) A continuous member ABCD is bent in one plane as shown in figure 4. The member is rigidly fixed at A and carries a vertical load of 20kN at free end. Find vertical deflection at free. Take EI = kn-m 2.[7] [4262]-110 2

3 Q3) a) A fixed beam AB of span 9m carries uniformly distributed load of 70 kn/m over span of 3m from A. Find fixed end moments from first principle. Draw SFD and BMD. b) A continuous beam ABCD supported and loaded as shown in figure 5. Find moments and reactions at supports using theorem of three moments. Draw SFD and BMD. Q4) a) Analyze the prop cantilever beam of span 5m subjected to udl of 10kN/m throughout the span and draw SFD and BMD. b) A fixed beam of span 10m carries two point loads of 50kN and 60kN acting at 3m and 6m from left support. Find fixed end moments by first principle and check the values with standard formula. Q5) A steel truss as shown in figure 6. The modulus of elasticity 210 GPa. The cross-sectional area of member AB is 200 mm 2, BC is 300 mm 2 and CA is 350 mm 2. Calculate horizontal and vertical deflection at joint A. [16] [4262]-110 3

4 Q6) Find the forces in the various members of the truss as shown in figure 7.[16] SECTION - II Q7) a) Write assumptions made in plastic theory. [4] b) Cross-Section of beam shown in figure 8 is subjected to sagging bending moment. Find shape factor if permissible yield stress in compression and tension are 230 MPa and 280 MPa respectively. [7] c) A continuous beam ABC is simply supported at A and C and continuous over B. If AB = 5m and BC = 7m Span AB is loaded with udl 40kN/m and span BC with udl 30kN/m. There act a point load of 80kN at 3m from left of C. If all loads are ultimate. Find plastic moment and BMD at collapse. Assume same Mp throughout. [7] [4262]-110 4

5 Q8) a) Determine the plastic moment at collapse for continuous beam ABC loaded with ultimate load and supported as mention below with constant Mp. Support A is fixed B and C are roller. AB = 3m, BC = 5m. Span AB is subjected to 50kN/m and BC is subjected to point load of 100kN at centre. b) The frame is supported and loaded with ultimate loads as shown in figure 9. Find plastic moment and collapse load. [10] Q9) a) Draw I.L.D. for the reaction at A, B and C. Also draw I.L.D. for S.F. at midpoint of AB for the beam as shown in figure 10. b) Construct I.L.D for forces in members U 3 U 4, L 3 L 4, L 3 U 4 and U 3 L 3 for the truss shown in figure 11. [4262]-110 5

6 Q10)a) A simply supported beam loaded as shown in figure 12. Find reactions using I.L.D. b) Draw I.L.D. for forces in members U 2 U 3, L 2 L 3, L 2 U 3 and U 2 L 2 for the truss shown in figure 13. Q11)a) Uniformly distributed load of 50kN/m 8m long crosses a girder AB having span 25m. Calculate maximum shear force and bending moment at a section 10m from left hand support A. b) Five point loads 80kN, 80kN, 150kN, 150kN and 90kN space at 2.1m, 2.4m, 2.1m and 1.8m in order to cross girder of 26m span from left to right with 80kN load leading. Determine bending moment at 8m from left hand support. Also determine shear force at same point. Q12)a) Two wheel loads 100kN and 120kN spaced at 0.8m apart roll on the girder as shown in figure 14. Find the maximum positive and negative shear force at section C. [4262]-110 6

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